Simplify the expression (x^4 - 8x^2 - 9) ÷ (x + 3) using synthetic division. Show your work. After doing the synthetic division, which gives you just coefficients. Convert the coefficient quotient answer, into a polynomial with variable x and the correct exponent powers in it. Convert your coefficient answer into a polynomial.

Remember to fill in any missing degree terms in your dividend with coefficients that are zero to represent missing place holders. Your final remainder is a zero. If you do not get a zero as a remainder, you are doing something wrong.

2x^2+5x+17

your welcome. : )

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

prime

step-by-step explanation: